Question

8. What is the equation of the line that passes through the points (0,5) and (1,7)

a. y = 3x - 3
b. y = 2x + 5
y = 4x - 1
d. y = 1/2x + 5

Answer 1

B. y = 2x + 5

Explanation:

Slope intercept formula y=mx+b

Slope formula y1-y2/x1-x2

First, let's find slope since we are provided 2 pairs of points, we can simply plug in our numbers in the Slope formula (y1-y2/x1-x2)

5-7/0-1

-2/-1

2/1

=2

Slope (m) = 2

Now using slope let's find our y-intercept (b) to plugin in our slope intercept formula (y=mx+b) for this let's use point 0,5

y=2x+b

5=2(0)+b

5=b

Y-intercept (b) = 5

Now let's plug in the slope (m) and the y-intercept (b) into the slope-intercept formula (y=mx+b)

y=mx+b

y=2x+5

So therefore our answer is B